Quantized momentum Eigenstates and thermodynamic properties of the Feinberg-Horodecki equation for the Time-Dependent Wei-Hua Oscillator

In this study, we obtained exact solutions of the Feinberg–Horodecki equation for the time-dependent Wei-Hua potential, which is constructed by the temporal counterpart of the spatial form of this potential. We have obtained the quantized momentum eigenvalues and the corresponding wave functions. We obtain the partition function for the system and study other thermodynamic properties which include vibrational mean momentum (U), vibrational specific heat capacity (C), vibrational entropy (s) and vibrational free momentum (F) as a signature in the momentum space.